Difference between revisions of "2006 AMC 10B Problems/Problem 3"
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== Problem == | == Problem == | ||
| + | A football game was played between two teams, the Cougars and the Panthers. The two teams scored a total of 34 points, and the Cougars won by a margin of 14 points. How many points did the Panthers score? | ||
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| + | <math> \mathrm{(A) \ } 10\qquad \mathrm{(B) \ } 14\qquad \mathrm{(C) \ } 17\qquad \mathrm{(D) \ } 20\qquad \mathrm{(E) \ } 24 </math> | ||
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== Solution == | == Solution == | ||
| + | Let <math>x</math> be the number of points scored by the Cougars, and <math>y</math> be the number of points scored by the Panthers. The problem is asking for the value of <math>y</math>. | ||
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| + | <math>x+y=34</math> | ||
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| + | <math>x-y=14</math> | ||
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| + | <math>2x=48</math> | ||
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| + | <math>x=24</math> | ||
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| + | <math>y=10 \Rightarrow A</math> | ||
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== See Also == | == See Also == | ||
*[[2006 AMC 10B Problems]] | *[[2006 AMC 10B Problems]] | ||
Revision as of 18:55, 13 July 2006
Problem
A football game was played between two teams, the Cougars and the Panthers. The two teams scored a total of 34 points, and the Cougars won by a margin of 14 points. How many points did the Panthers score?
Solution
Let 
be the number of points scored by the Cougars, and 
be the number of points scored by the Panthers. The problem is asking for the value of .
